Find Slope Graphically

Front

What is the definition of slope in mathematics?

Back

Slope is a measure of the steepness or incline of a line, typically represented as the ratio of the vertical change (rise) to the horizontal change (run) between two points on the line.

Tags

CCSS.8.EE.B.5

Front

How do you calculate the slope between two points (x1, y1) and (x2, y2)?

Back

Slope (m) = (y2 - y1) / (x2 - x1)

Tags

CCSS.8.EE.B.5

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that as the x-value increases, the y-value also increases, meaning the line rises from left to right.

Tags

CCSS.8.EE.B.5

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as the x-value increases, the y-value decreases, meaning the line falls from left to right.

Tags

CCSS.8.EE.B.5

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.

Tags

CCSS.8.EE.B.5

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.

Tags

CCSS.8.EE.B.5

Front

If a line has a slope of 3/2, what does this mean in terms of rise and run?

Back

For every 2 units of horizontal change (run), the line rises 3 units (rise).

Tags

CCSS.8.EE.B.5

Front

How can you visually identify the slope of a line on a graph?

Back

The slope can be identified by selecting two points on the line, calculating the rise and run between them, and forming the ratio rise/run.

Tags

CCSS.8.EE.B.5

Front

What is the slope of the line represented by the equation y = -2x + 5?

Back

The slope of the line is -2.

Tags

CCSS.8.EE.B.5

Front

If the slope of a line is 4/3, what is the rise if the run is 3 units?

Back

The rise would be 4 units.

Tags

CCSS.8.EE.B.5